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Surface mounted heat flux sensors

Published online by Cambridge University Press:  17 February 2009

G. J. Weir
Affiliation:
Applied Mathematics Division, Department of Scientific and Industrial Research. PP. Box 1335, Wellington, New Zealand.
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Abstract

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The dual integral equations describing heat flow about a circular Heat Flux Sensor on the surface of a layered medium are derived and discussed, together with the extent to which the Heat Flux Sensor measures the heat flow which would occur in the absence of a Heat Flux Sensor. An asymptotic analysis provides new analytical results supporting those derived previously by numerical methods.

It is suggested that some properties of the general problem of a Heat Flux Sensor on the surface of a multiply-layered medium can be approximated by a lumped-parameter model depending on only four non-dimensional numbers: namely, two non-dimensional linear heat transfer coefficients, and essentially two non-dimensional thermal resistances. Some support for the lumped parameter model is provided.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1986

References

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